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  • 标题:Nakao’s method and an interval difference scheme of second order for solving the elliptic BVP
  • 本地全文:下载
  • 作者:Andrzej Marciniak
  • 期刊名称:Computational Methods in Science and Technology
  • 印刷版ISSN:1505-0602
  • 出版年度:2019
  • 卷号:25
  • 期号:2
  • 页码:81-97
  • DOI:10.12921/cmst.2019.0000016
  • 出版社:Poznan Supercomputing and Networking Center
  • 摘要:In the paper we compare Nakao’s method to our interval difference scheme of second order. Repeating some computational examples of Nakao, we have observed that our implementation of his method gives better results. Moreover, it appears that the presented interval difference scheme gives better enclosures of exact solutions than Nakao’s method. We also point out that the considered interval method can be used to solve the Poisson equation with Dirichlet’s condition, for which Nakao’s method is not applicable.
  • 其他关键词:Nakao’s method, interval difference methods, elliptic boundary value problem, floating-point interval arithmetic
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